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Proper Orthogonal Decomposition and Model Reduction of Nonlinear Systems
Kerschen, Gaëtan; Lenaerts, Vincent; Golinval, Jean-Claude
2000In European Cost F3 Conference on system Identification & Structural Health Monitoring, Madrid, 2000
 

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Keywords :
proper orthogonal decomposition; nonlinear dynamics; singular value decomposition; proper orthogonal modes; normal modes; model reduction
Abstract :
[en] This work deals with the application of the proper orthogonal decomposition (POD) to structural dynamics. On one hand, a physical interpretation of the proper orthogonal modes (POM) is given using the singular value decomposition (SVD). It is shown that the POM converge to the normal modes under some circumstances. On the other hand, the POM are exploited for model reduction purposes. The efficiency of the reduced model for the prediction of the response is tested on a nonlinear beam. The comparison with another reduced model obtained via the normal modes of the linearised system points out that the POM are optimal for the reconstruction of the dynamics of a system.
Disciplines :
Mechanical engineering
Aerospace & aeronautics engineering
Electrical & electronics engineering
Author, co-author :
Kerschen, Gaëtan  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Lenaerts, Vincent
Golinval, Jean-Claude  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures
Language :
English
Title :
Proper Orthogonal Decomposition and Model Reduction of Nonlinear Systems
Publication date :
2000
Event name :
European Cost F3 Conference on system Identification & Structural Health Monitoring
Event organizer :
universidad Politecnica de Madrid
Event place :
Madrid, Spain
Audience :
International
Main work title :
European Cost F3 Conference on system Identification & Structural Health Monitoring, Madrid, 2000
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